46914940800 has 2016 divisors, whose sum is σ = 227685628080. Its totient is φ = 9316270080.

The previous prime is 46914940781. The next prime is 46914940823. The reversal of 46914940800 is 804941964.

46914940800 is a `hidden beast` number, since 469 + 149 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2759702392 + ... + 2759702408.

Almost surely, 2^46914940800 is an apocalyptic number.

46914940800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46914940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113842814040).

46914940800 is an abundant number, since it is smaller than the sum of its proper divisors (180770687280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46914940800 is a wasteful number, since it uses less digits than its factorization.

46914940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 46914940800 in words is "forty-six billion, nine hundred fourteen million, nine hundred forty thousand, eight hundred".